Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂×F₅

Direct product G=N×Q with N=C₈ and Q=C₂×F₅

		d	ρ	Label	ID
C₂×C₈×F₅		80		C2xC8xF5	320,1054

Semidirect products G=N:Q with N=C₈ and Q=C₂×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₂×F₅) = M₄(2)⋊₁F₅	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₈	40	8	C8:1(C2xF5)	320,1065
C₈⋊₂(C₂×F₅) = D₄₀⋊C₄	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₈	40	8+	C8:2(C2xF5)	320,1069
C₈⋊₃(C₂×F₅) = SD₁₆⋊F₅	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₈	40	8	C8:3(C2xF5)	320,1073
C₈⋊₄(C₂×F₅) = D₈×F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	40	8+	C8:4(C2xF5)	320,1068
C₈⋊₅(C₂×F₅) = SD₁₆×F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	40	8	C8:5(C2xF5)	320,1072
C₈⋊₆(C₂×F₅) = M₄(2)×F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	40	8	C8:6(C2xF5)	320,1064
C₈⋊₇(C₂×F₅) = C₂×D₅.D₈	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80		C8:7(C2xF5)	320,1058
C₈⋊₈(C₂×F₅) = C₂×C₄₀⋊C₄	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80		C8:8(C2xF5)	320,1057
C₈⋊₉(C₂×F₅) = C₂×C₈⋊F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80		C8:9(C2xF5)	320,1055

Non-split extensions G=N.Q with N=C₈ and Q=C₂×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₂×F₅) = D₁₀.D₈	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₈	80	8-	C8.1(C2xF5)	320,241
C₈.₂(C₂×F₅) = D₄₀.C₄	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₈	80	8+	C8.2(C2xF5)	320,244
C₈.₃(C₂×F₅) = D₄₀⋊₁C₄	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₈	80	8+	C8.3(C2xF5)	320,245
C₈.₄(C₂×F₅) = Dic₂₀.C₄	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₈	160	8-	C8.4(C2xF5)	320,248
C₈.₅(C₂×F₅) = M₄(2).₁F₅	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₈	80	8	C8.5(C2xF5)	320,1067
C₈.₆(C₂×F₅) = D₈⋊F₅	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₈	80	8-	C8.6(C2xF5)	320,1071
C₈.₇(C₂×F₅) = SD₁₆⋊₂F₅	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₈	80	8	C8.7(C2xF5)	320,1075
C₈.₈(C₂×F₅) = Dic₂₀⋊C₄	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₈	80	8-	C8.8(C2xF5)	320,1077
C₈.₉(C₂×F₅) = Q₁₆⋊F₅	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₈	80	8+	C8.9(C2xF5)	320,1079
C₈.₁₀(C₂×F₅) = D₅.D₁₆	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	80	8+	C8.10(C2xF5)	320,242
C₈.₁₁(C₂×F₅) = D₈.F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	160	8-	C8.11(C2xF5)	320,243
C₈.₁₂(C₂×F₅) = D₅.Q₃₂	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	80	8-	C8.12(C2xF5)	320,246
C₈.₁₃(C₂×F₅) = Q₁₆.F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	160	8+	C8.13(C2xF5)	320,247
C₈.₁₄(C₂×F₅) = D₈⋊₅F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	80	8-	C8.14(C2xF5)	320,1070
C₈.₁₅(C₂×F₅) = Q₁₆×F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	80	8-	C8.15(C2xF5)	320,1076
C₈.₁₆(C₂×F₅) = Q₁₆⋊₅F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	80	8+	C8.16(C2xF5)	320,1078
C₈.₁₇(C₂×F₅) = SD₁₆⋊₃F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	80	8	C8.17(C2xF5)	320,1074
C₈.₁₈(C₂×F₅) = Dic₁₀.C₈	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	160	8	C8.18(C2xF5)	320,1063
C₈.₁₉(C₂×F₅) = M₄(2)⋊₅F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₈	80	8	C8.19(C2xF5)	320,1066
C₈.₂₀(C₂×F₅) = C₈₀⋊₂C₄	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.20(C2xF5)	320,187
C₈.₂₁(C₂×F₅) = C₈₀⋊₃C₄	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.21(C2xF5)	320,188
C₈.₂₂(C₂×F₅) = C₁₆.F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	160	4	C8.22(C2xF5)	320,189
C₈.₂₃(C₂×F₅) = C₈₀.₂C₄	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	160	4	C8.23(C2xF5)	320,190
C₈.₂₄(C₂×F₅) = C₂×D₁₀.Q₈	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.24(C2xF5)	320,1061
C₈.₂₅(C₂×F₅) = C₈₀⋊₄C₄	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.25(C2xF5)	320,185
C₈.₂₆(C₂×F₅) = C₈₀⋊₅C₄	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.26(C2xF5)	320,186
C₈.₂₇(C₂×F₅) = (C₂×C₈)⋊₆F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.27(C2xF5)	320,1059
C₈.₂₈(C₂×F₅) = C₂×C₄₀.C₄	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.28(C2xF5)	320,1060
C₈.₂₉(C₂×F₅) = (C₈×D₅).C₄	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.29(C2xF5)	320,1062
C₈.₃₀(C₂×F₅) = C₁₆⋊F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.30(C2xF5)	320,183
C₈.₃₁(C₂×F₅) = C₁₆⋊₄F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.31(C2xF5)	320,184
C₈.₃₂(C₂×F₅) = C₂×C₈.F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.32(C2xF5)	320,1052
C₈.₃₃(C₂×F₅) = D₅⋊M₅(2)	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.33(C2xF5)	320,1053
C₈.₃₄(C₂×F₅) = C₂₀.₁₂C₄²	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.34(C2xF5)	320,1056
C₈.₃₅(C₂×F₅) = D₅⋊C₃₂	central extension (φ=1)	160	4	C8.35(C2xF5)	320,179
C₈.₃₆(C₂×F₅) = C₈₀.C₄	central extension (φ=1)	160	4	C8.36(C2xF5)	320,180
C₈.₃₇(C₂×F₅) = C₁₆×F₅	central extension (φ=1)	80	4	C8.37(C2xF5)	320,181
C₈.₃₈(C₂×F₅) = C₁₆⋊₇F₅	central extension (φ=1)	80	4	C8.38(C2xF5)	320,182
C₈.₃₉(C₂×F₅) = C₂×C₅⋊C₃₂	central extension (φ=1)	320		C8.39(C2xF5)	320,214
C₈.₄₀(C₂×F₅) = C₅⋊M₆(2)	central extension (φ=1)	160	4	C8.40(C2xF5)	320,215
C₈.₄₁(C₂×F₅) = C₂×D₅⋊C₁₆	central extension (φ=1)	160		C8.41(C2xF5)	320,1051

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Extensions 1→N→G→Q→1 with N=C8 and Q=C2×F5

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂×F₅